Chapter 9.6, Problem 18PSB

To determine

To Calculate: The distance in km between starting point and current point.

Answer to Problem 18PSB

The required distance is $29$ km

Explanation of Solution

Given information:

Submarine travels $1$ km north, the $1$ km west, then $1$ km north, then $1$ km west and so forth until it has travelled a total of $41$ km.

Formula used:

Here, we are using Pythagoras theorem.

  ${\left(Hypotenuse\right)}^2={\left(perpendicular\right)}^2+{\left(base\right)}^2$

Calculation:

  

Here, the formula is

  ${\left(Hypotenuse\right)}^2={\left(perpendicular\right)}^2+{\left(base\right)}^2$

  ${\left(Hypotenuse\right)}^2={\left(21\right)}^2+{\left(20\right)}^2$

  $Hypotenuse=29\text{ km}\text{.}$

Conclusion: Hence,the required distance is $29$ km